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図書

図書
Erin N. Bodine, Suzanne Lenhart, Louis J. Gross
出版情報: Princeton, N.J. : Princeton University Press, c2014  xx, 608 p. ; 27 cm
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2.

図書

図書
Erich Steiner
出版情報: Oxford ; New York : Oxford University Press, 2008  xii, 668 p. ; 25 cm
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目次情報: 続きを見る
Numbers, variables, and units / 1:
Concepts / 1.1:
Real numbers / 1.2:
Factorization, factors, and factorials / 1.3:
Decimal representation of numbers / 1.4:
Variables / 1.5:
The algebra of real numbers / 1.6:
Complex numbers / 1.7:
Units / 1.8:
Exercises / 1.9:
Algebraic functions / 2:
Graphical representation of functions / 2.1:
Factorization and simplification of expressions / 2.3:
Inverse functions / 2.4:
Polynomials / 2.5:
Rational functions / 2.6:
Partial fractions / 2.7:
Solution of simultaneous equations / 2.8:
Transcendental functions / 2.9:
Trigonometric functions / 3.1:
Inverse trigonometric functions / 3.3:
Trigonometric relations / 3.4:
Polar coordinates / 3.5:
The exponential function / 3.6:
The logarithmic function / 3.7:
Values of exponential and logarithmic functions / 3.8:
Hyperbolic functions / 3.9:
Differentiation / 3.10:
The process of differentiation / 4.1:
Continuity / 4.3:
Limits / 4.4:
Differentiation from first principles / 4.5:
Differentiation by rule / 4.6:
Implicit functions / 4.7:
Logarithmic differentiation / 4.8:
Successive differentiation / 4.9:
Stationary points / 4.10:
Linear and angular motion / 4.11:
The differential / 4.12:
Integration / 4.13:
The indefinite integral / 5.1:
The definite integral / 5.3:
The integral calculus / 5.4:
Uses of the integral calculus / 5.5:
Static properties of matter / 5.6:
Dynamics / 5.7:
Pressure-volume work / 5.8:
Methods of integration / 5.9:
The use of trigonometric relations / 6.1:
The method of substitution / 6.3:
Integration by parts / 6.4:
Reduction formulas / 6.5:
Rational integrands. The method of partial fractions / 6.6:
Parametric differentiation of integrals / 6.7:
Sequences and series / 6.8:
Sequences / 7.1:
Finite series / 7.3:
Infinite series / 7.4:
Tests of convergence / 7.5:
MacLaurin and Taylor series / 7.6:
Approximate values and limits / 7.7:
Operations with power series / 7.8:
Algebra of complex numbers / 7.9:
Graphical representation / 8.3:
Complex functions / 8.4:
Euler's formula / 8.5:
Periodicity / 8.6:
Evaluation of integrals / 8.7:
Functions of several variables / 8.8:
Partial differentiation / 9.1:
The total differential / 9.4:
Some differential properties / 9.6:
Exact differentials / 9.7:
Line integrals / 9.8:
Multiple integrals / 9.9:
The double integral / 9.10:
Change of variables / 9.11:
Functions in 3 dimensions / 9.12:
Spherical polar coordinates / 10.1:
Functions of position / 10.3:
Volume integrals / 10.4:
The Laplacian operator / 10.5:
Other coordinate systems / 10.6:
First-order differential equations / 10.7:
Solution of a differential equation / 11.1:
Separable equations / 11.3:
Separable equations in chemical kinetics / 11.4:
First-order linear equations / 11.5:
An example of linear equations in chemical kinetics / 11.6:
Electric circuits / 11.7:
Second-order differential equations. Constant coefficients / 11.8:
Homogeneous linear equations / 12.1:
The general solution / 12.3:
Particular solutions / 12.4:
The harmonic oscillator / 12.5:
The particle in a one-dimensional box / 12.6:
The particle in a ring / 12.7:
Inhomogeneous linear equations / 12.8:
Forced oscillations / 12.9:
Second-order differential equations. Some special functions / 12.10:
The power-series method / 13.1:
The Frobenius method / 13.3:
The Legendre equation / 13.4:
The Hermite equation / 13.5:
The Laguerre equation / 13.6:
Bessel functions / 13.7:
Partial differential equations / 13.8:
General solutions / 14.1:
Separation of variables / 14.3:
The particle in a rectangular box / 14.4:
The particle in a circular box / 14.5:
The hydrogen atom / 14.6:
The vibrating string / 14.7:
Orthogonal expansions. Fourier analysis / 14.8:
Orthogonal expansions / 15.1:
Two expansions in Legendre polynomials / 15.3:
Fourier series / 15.4:
Fourier transforms / 15.5:
Vectors / 15.7:
Vector algebra / 16.1:
Components of vectors / 16.3:
Scalar differentiation of a vector / 16.4:
The scalar (dot) product / 16.5:
The vector (cross) product / 16.6:
Scalar and vector fields / 16.7:
The gradient of a scalar field / 16.8:
Divergence and curl of a vector field / 16.9:
Vector spaces / 16.10:
Determinants / 16.11:
Determinants of order 3 / 17.1:
The general case / 17.3:
The solution of linear equations / 17.4:
Properties of determinants / 17.5:
Reduction to triangular form / 17.6:
Alternating functions / 17.7:
Matrices and linear transformations / 17.8:
Some special matrices / 18.1:
Matrix algebra / 18.3:
The inverse matrix / 18.4:
Linear transformations / 18.5:
Orthogonal matrices and orthogonal transformations / 18.6:
Symmetry operations / 18.7:
The matrix eigenvalue problem / 18.8:
The eigenvalue problem / 19.1:
Properties of the eigenvectors / 19.3:
Matrix diagonalization / 19.4:
Quadratic forms / 19.5:
Complex matrices / 19.6:
Numerical methods / 19.7:
Errors / 20.1:
Solution of ordinary equations / 20.3:
Interpolation / 20.4:
Numerical integration / 20.5:
Methods in linear algebra / 20.6:
Gauss elimination for the solution of linear equations / 20.7:
Gauss-Jordan elimination for the inverse of a matrix / 20.8:
Systems of differential equations / 20.9:
Probability and statistics / 20.11:
Descriptive statistics / 21.1:
Frequency and probability / 21.3:
Combinations of probabilities / 21.4:
The binomial distribution / 21.5:
Permutations and combinations / 21.6:
Continuous distributions / 21.7:
The Gaussian distribution / 21.8:
More than one variable / 21.9:
Least squares / 21.10:
Sample statistics / 21.11:
Standard integrals / 21.12:
Solutions to exercises
Index
Numbers, variables, and units / 1:
Concepts / 1.1:
Real numbers / 1.2:
3.

図書

図書
Howard Anton, Bernard Kolman
出版情報: New York : Academic Press, c1978  xvii, 760 p. ; 24 cm
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4.

図書

図書
[by] Frank Fleming [and] Roy Luke
出版情報: Columbus, Ohio : Merrill, [1974]  x, 321 p ; 26 cm
シリーズ名: Merrill mathematics series
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5.

図書

図書
[by] Abe Mizrahi [and] Michael Sullivan
出版情報: New York : Wiley, [1973]  xi, 467, A60, I4 p. ; 26 cm
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6.

図書

図書
[by] Mary L. Boas
出版情報: New York : Wiley, c1966  xix, 778 p. ; 24 cm
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7.

図書

図書
Dennis Rosen
出版情報: London : Chapman & Hall, 1991  x, 277 p. ; 24 cm.
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8.

図書

図書
[by] A. W. Goodman, J. S. Ratti
出版情報: New York : Macmillan, c1971  xiv, 490 p ; 24 cm
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9.

図書

図書
Taro Yamane
出版情報: New Delhi : Prentice-Hall of India, c1968  xvii, 714 p ; 24 cm
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10.

図書

図書
C.R. Wylie, Jr
出版情報: New York : McGraw-Hill, c1966  xiv, 813 p. ; 25 cm
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